Graphing x & y 11/18

Front

What is the general form of a linear equation in two variables?

Back

The general form of a linear equation in two variables is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you identify the coordinates of a point on a graph?

Back

The coordinates of a point on a graph are identified as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of 'y' with respect to 'x', indicating how steep the line is.

Front

How can you determine if a point lies on a given line?

Back

To determine if a point lies on a given line, substitute the x-coordinate of the point into the line's equation and check if the resulting y-value matches the y-coordinate of the point.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of 'y' when 'x' is zero.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for 'y' in terms of 'x'.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) between two points is m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.